Answers
Answer:
Step-by-step explanation:
Remember:
[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]
[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]
[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]
[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]
Related Questions
Write a numerical or algebraic expression for each verbal phrase .
Seven fewer than a number?
Alice rented bowling shoes for $3.25 and played five games at $2 each write evaluate an expression for the total coast of bowling?
Answers
Answer:
n-7
Step-by-step explanation:
Seven fewer than a number means that you just subtract 7 from the original number.
Given the function, f(x)= Vx+1-6, choose the correct transformation.
o left 1, down 6
o left 1, up 6
O right 1, down 6
O right 1, up 6
Answers
If you drive 565 miles a day, how far will you have gone at the end of a week?
Answers
If you drive 565 miles a day for 7 days do 565 times 7!
say whether each of these statements about square numbers is always true, sometimes true or never true
a the last digit is 5
b the last digit is 7
c last digit is a square number.
last digit is not 3 or 8
Answers
Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:
a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8 - never trueWhat are square numbers?
The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.
Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.
A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:
a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8 - never trueRead more perfect squares here: https://brainly.com/question/26119721
#SPJ1
Is 0.8 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9
Answers
Answer:
g. 19/25
Step-by-step explanation:
19/25 = .76, or approximately .8 -- none of the other options come as close as option g.
Write an equation of the circle (6, -3) and radius 12.
This is my answer:
(x-6)^2 + (y+3)^2= 144
Is my answer correct? ^ means exponent
Answers
Answer:
(x-6)^2 + (y+3)^2= 144
Step-by-step explanation:
The equation of a circle can be written in the form
(x-h) ^2 + (y-k) ^2 = r^2 where (h,k) is the center and r is the radius
( x-6) ^2 + ( y--3)^2 = 12^2
(x-6)^2 + (y+3)^2= 144
Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size
Answers
Answer:
to turn
Step-by-step explanation:
to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate
5. Find the area of the shaded region as a simplified
expression.
3r
x + 8 stund
2r - 1
x2–5x+3
Answers
Answer:
x³ -3x²-34x+24
Step-by-step explanation:
the area of the shaded region =
(x²-5x+3)(x+8) - 3x(2x-1) =
x³+8x²-5x²-40x+3x+24- 6x²+3x =
x³ -3x²-34x+24
I|I is an integer between 11 and 17
Answers
Yes, there is. It's 14. Hope this helps.
The difference of two numbers is 16, and their sum is 20. What are the two numbers?
Answers
Answer:
18 and 2
Step-by-step explanation:
18-2=16
18+2=20
Hi ;-)
[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]
These numbers are 18 and 2.
Find the present balance.
Below is Elizabeth Hallett's bank statement. Her previous balance was $271.31 What is her present balance?
Answers
[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]
[tex]\\ \rm\longmapsto 231.80+345.85[/tex]
[tex]\\ \rm\longmapsto 577.65[/tex]
Debited amount:-[tex]\\ \rm\longmapsto 25.85+2.00[/tex]
[tex]\\ \rm\longmapsto 27.85[/tex]
Checked amount:-[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]
[tex]\\ \rm\longmapsto 117+19.45[/tex]
[tex]\\ \rm\longmapsto 136.45[/tex]
Total change in balance[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]
[tex]\\ \rm\longmapsto 577.65-191.3[/tex]
[tex]\\ \rm\longmapsto 386.35[/tex]
Now
Current balance[tex]\\ \rm\longmapsto 386.35+271.31[/tex]
[tex]\\ \rm\longmapsto\$ 657.66[/tex]
Three times the sum of a number and 18 is at least-30
Answers
Answer:
the sum of the number is 16 and it is al least 20 points
GENTE PORFAVOR ME AJUDA
Answers
You have asked for help without actually providing what you need help on.
Show how find 42 x 27 using an area number
Answers
Answer:
First break it down
42= 40 & 2
27= 20 & 7
Then times 40 & 20 to get 800
20 x 2 to get 40
40 x 7 to get 280
7 x 2 to get 14
Now add them all together.
800 40 1080
+280 +14 + 54
---------- ------- ---------
1080 + 54 = 1134
jordan drank 36 ounces of water today , how many cups of water did he drink ?
a. 4.5 cups
b. 9 cups
c. 18 cups
d. 288 cups
answer asapppp 2 .
Answers
Answer:
jordan drinks 4.5 cup of water
d is the midpoint of AC.what is the lenght of AB
look above for picture or below
Answers
Answer:
you would add 3x+2 and 6x-4
9x -2 is the length
Step-by-step explanation:
Solve for x where 2/x=2exponent x
Answers
Answer:
x = 1
Step-by-step explanation:
2/x = 2^(x)
x = 1
hope that helps
create a improper fraction with the number 10 as the denominator
Answers
Answer:
Decimal Fraction Percentage
0.101 101/1000 10.1%
0.1 100/1000 10%
0.1013 101/997 10.13%
0.1012 101/998 10.12%
Step-by-step explanation:
Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1
Answers
The expression for the perimeter of the rectangle is 63.2x - 14.6.
Given that,
Width = W = 24.6x - 10.4Length = L = 7x + 3.1We Know that
Perimeter of the rectangle is
[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]
= 63.2x - 14.6
Here the above formula should be applied for measuring the perimeter of the rectangle.
Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.
Learn more about the rectangle here: brainly.com/question/16167300
Answer:
24.3
Step-by-step explanation:
First you solve the sides:
24.6-10.4 =14.2
7+3.1=10.1
After that ,you will add because perimeter is adding up the side lengths of various shapes.
14.2+10.1=24.3
PLZ HELP ASAP I NEED PLZZZ!!!!!!
Fill in the blank with the correct response. The slope of the graph of y = -2/3x is __.
Answers
Answer:
Solution given:
Equation of line is:
y=-⅔x
comparing above equation with
y=mx+c
we get
m=-⅔
So
slope is -⅔Answer:
slope is -2/3
Step-by-step explanation:
I. It's linear equation
y = mx + b
when y is output, x is input, m is slope and b is addition.
The statment above is y = -2/3x + 0
So -2/3 is slope or m.value
Hope that help :D
Brent needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?
Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm and its base is 5 cm.
4.5 cm2
8.5 cm2
16.5 cm2
33.0 cm2
Answers
9514 1404 393
Answer:
(c) 16.5 cm^2
Step-by-step explanation:
The area of each triangle is given by the formula ...
A = 1/2bh
Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2
Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2
The difference in area is ...
22.5 cm^2 -6 cm^2 = 16.5 cm^2
what is ninety two thousand one hundred seventy
Answers
Answer:
92170
I hope it's helps you
Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...
Answers
Answer:
a + 4(n-1)
Step-by-step explanation:
The first term is a+4, the second term is a+8, the third term is a+12, etc.
A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as
4 * (n-1) + a
Write 4.4% as a fraction in simplest form
Answers
Answer:
4 2/5
Step-by-step explanation:
4 is 4
0.40 is equal to 4/10 which is equal to 2/5
hoped this helped
Answer:
22/5
Step-by-step explanation:
Write 27 as a power and as repeated multiplication
Answers
Answer:
3*3*3
3^3
Step-by-step explanation:
27 = 9*3
= 3*3*3
= 3^3
3^3
3 • 3 • 3
Step-by-step explanation:
27 = 9 • 3
27 = 3 • 3 • 3
27 = 3^3
Calculate the area of the triangle.
Note: Think about which side to use as the base.
Answers
9514 1404 393
Answer:
27 square units
Step-by-step explanation:
The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.
A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area
write rhis number in standard notation. 1.342×10^-7
Answers
Answer:
0.0000001342
Step-by-step explanation:
Divide.
10.12 105 so yeah help
Answers
Answer:
0.0001012
Step-by-step explanation:
I have explained the solution on paper step by step! but I am typing this to get the solution. to 20 characters
There are 12 girls and 14 boys in class today. What is the ratio of girls
to boys? whats the answer
Answers
pretty sure
Answer:
12:14
Step-by-step explanation:
Expanded form for 4082 × 1/10=
Answers
Answer:
4000+0+80+2×0.1
Step-by-step explanation:
after expanding, /means division so you diving
